E! News has obtained a statement from Destiny Odom, 17, and Lamar Odom Jr., 13, who have been by their ailing father's side at Sunrise Hospital in Nevada, on behalf of their family.

"Thanks for your outpouring of prayers and support for our dad. We are here with our family and friends," the statement read. "We appreciate everyone respecting our privacy at this time. We ask for your continued prayers."

"Nothing's changed. Everyone is praying for a miracle," the source tells us, adding that doctors are preparing love ones that, should Lamar's brain be functional, it could be a very "long term" process of coming out of a coma.

—Reporting by Holly Passalaqua

For more on Lamar Odom's condition and how his loved ones are coping, tune into E! News at 7 and 11 p.m. tonight on E!